A circle passes through the vertices of a square of side 20cm.Find the radius of the circle.
2 answers:
Answer:
14.1cm
Step-by-step explanation:
If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.
We use Pytagoras Theorem to find out the length (L) of the diagonal given that:
L² = (20)² + (20)²
L² = 2* (20)²
L = √2 * 20
L = 1,4142* 20
L = 28,28 cm
L diagonal in the square is a diameter of the circle then radius of a circle is:
r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm
Answer:
14,1 cm
Step-by-step explanation:
If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.
We use Pytagoras Theorem to find out the length (L) of the diagonal given that:
L² = (20)² + (20)²
L² = 2* (20)²
L = √2 * 20
L = 1,4142* 20
L = 28,28 cm
L diagonal in the square is a diameter of the circle then radius of a circle is:
r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm
You might be interested in
Answer:
a.
The French government gathers €85,930,190,677 more than the German government
Step-by-step explanation:
Credit cash; debit withdrawals
Answer:
1 and 2 is 1 and 4 and 7 is 3.
Step-by-step explanation:
Answer:
16th term = 39.
Step-by-step explanation:
Plug 16 into the formula -6 + 3(n - 1):
A(16) = -6 + 3(16-1)
= - 6 + 3*15
= -6 + 45
= 39.
Answer:
The value of 14(n+1) is 112.
Step-by-step explanation:
14n=98
n=98/14
n=7
-------------
14(n+1)=14(7+1)=14(8)=112
